Base | Representation |
---|---|
bin | 1001011100101010… |
… | …0111011000000000 |
3 | 20112202012101020122 |
4 | 2113022213120000 |
5 | 20143223023321 |
6 | 1055354155412 |
7 | 116563565660 |
oct | 22712473000 |
9 | 6482171218 |
10 | 2536142336 |
11 | 109164a302 |
12 | 5a9422b68 |
13 | 315575150 |
14 | 1a0b7c1a0 |
15 | ec9b98ab |
hex | 972a7600 |
2536142336 has 160 divisors (see below), whose sum is σ = 6455211840. Its totient is φ = 968196096.
The previous prime is 2536142321. The next prime is 2536142339. The reversal of 2536142336 is 6332416352.
Its product of digits (77760) is a multiple of the sum of its prime factors (1944).
It is a junction number, because it is equal to n+sod(n) for n = 2536142296 and 2536142305.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2536142339) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1350230 + ... + 1352106.
It is an arithmetic number, because the mean of its divisors is an integer number (40345074).
Almost surely, 22536142336 is an apocalyptic number.
2536142336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2536142336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3227605920).
2536142336 is an abundant number, since it is smaller than the sum of its proper divisors (3919069504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2536142336 is a wasteful number, since it uses less digits than its factorization.
2536142336 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1944 (or 1928 counting only the distinct ones).
The product of its digits is 77760, while the sum is 35.
The square root of 2536142336 is about 50360.1264494044. The cubic root of 2536142336 is about 1363.7179007428.
Adding to 2536142336 its reverse (6332416352), we get a palindrome (8868558688).
The spelling of 2536142336 in words is "two billion, five hundred thirty-six million, one hundred forty-two thousand, three hundred thirty-six".
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